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Finding the Fourth Proportional to 407,656.40, 608,739.24 and 332,924.80

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Solution

The fourth proportional to 407,656.40, 608,739.24 and 332,924.80 is: 497,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,656.40 : 608,739.24 = 332,924.80 : x
  2. Step 2: Convert to fraction form
    407,656.40/608,739.24 = 332,924.80/x
  3. Step 3: Cross multiply
    407,656.40x = 608,739.24 × 332,924.80
  4. Step 4: Simplify right side
    407,656.40x = 202,664,389,729.15
  5. Step 5: Solve for x
    x = 202,664,389,729.15/407,656.40
  6. Step 6: Final answer
    x = 497,145.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.